Euler-Lagrange equations, symmetry and conservation laws

Classical Mechanics (Fall, 2007)

October 29, 2007

Define the Euler-Lagrange equations as a result of the Principle of Least Action. Define the canonical momentum. Differential conservation laws result from a continuous symmetry.

  • Euler-Lagrange equations
  • Canonical momentum
  • Generalized coordinates
  • Momentum conservation
  • Relative coordinates
  • Symmetry and conservation laws
  • Rotational symmetry
  • Noether charge
  • Time invariance
  • The Hamiltonian